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Finding the Fourth Proportional to 8,348.76, 12,523.14 and 2,505.42

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Solution

The fourth proportional to 8,348.76, 12,523.14 and 2,505.42 is: 3,758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.76 : 12,523.14 = 2,505.42 : x
  2. Step 2: Convert to fraction form
    8,348.76/12,523.14 = 2,505.42/x
  3. Step 3: Cross multiply
    8,348.76x = 12,523.14 × 2,505.42
  4. Step 4: Simplify right side
    8,348.76x = 31,375,725.42
  5. Step 5: Solve for x
    x = 31,375,725.42/8,348.76
  6. Step 6: Final answer
    x = 3,758.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.